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MA_775_DIABLO [31]
3 years ago
10

Kathleen bought candy at the movie theater for her friends. She bought 4 1/2 pounds of candy for 3 friends to share. How many po

unds of candy will each of her friends have? (work shown if possible please and ty)
Mathematics
1 answer:
liq [111]3 years ago
4 0

Answer:

1 1/2 lb of candy / friend

Step-by-step explanation:

To answer this, divide the total 4 1/2 lb of candy by 3 friends:

4 1/2 lb of candy

------------------------ = 1 1/2 lb of candy / friend

     3 friends

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What’s the answer of a multiplying polynomials (3x-1) to the second power and (x+6) to the second power
Vladimir [108]

9x^4+102x^3+253x^2-204x+36 is the result of multiplying (3x-1) to the second power and (x+6) to the second power

<h3><u>Solution:</u></h3>

Given that we have to find the result of multiplying polynomials (3x-1) to the second power and (x+6) to the second power

"Second power" means the term is raised to power of 2

Therefore,

We have to multiply (3x-1)^2 \text{ and }(x+6)^2

\rightarrow (3x-1)^2 \times (x+6)^2

We can use the algebraic identity to expand the above expression

(a+b)^2 = a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2

Applying these in above expression, we get

\rightarrow ((3x)^2-2(3x)(1)+1^2) \times (x^2+2(x)(6)+6^2)\\\\\rightarrow (9x^2-6x+1) \times (x^2+12x+36)

Multiply each term in first bracket with each term in second bracket

\rightarrow 9x^2(x^2)+(9x^2)(12x)+(9x^2)(36)-6x(x^2)-6x(12x)-6x(36) + x^2+12x+36

Simplify the above expression

\rightarrow 9x^4+108x^3+324x^2-6x^3-72x^2-216x+x^2+12x+36

Combine the like terms

\rightarrow 9x^4+102x^3+253x^2-204x+36

Thus the above expression is the result of multiplying (3x-1) to the second power and (x+6) to the second power

4 0
3 years ago
A spinner is divided into four equal sections that are numbered 2, 3, 5, and 6. The spinner is spun twice.
frez [133]
As the spinner is spun twice the order pairs which have a product less than 14 and contain at least one odd number are ( 2,3), ( 2,5), ( 3,2), ( 3,3), ( 5,2) 
= 5 order pairs
Option B is correct

Note: see the attached image to comprehend how we find order pair( for beginner   
<span />

6 0
3 years ago
(2x3 + 7x2 + x) + 2(x2 - 2x - 6) splifly
zimovet [89]

Answer:

2x³ + 3(3x - 4)(x + 1)

Step-by-step explanation:

(2x³ + 7x² + x) + 2(x² - 2x - 6)

2x³ + 7x² + x + 2x² - 4x - 12

2x³ + 9x² - 3x - 12

2x³ + 3(3x² - x - 4)

2x³ +3(3x - 4)(3x + 3)/3

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2x³ + 3(3x - 4)(x + 1)

8 0
3 years ago
Which of the following categories of numbers describes ?
JulijaS [17]

Answer:

irrational numbers

Step-by-step explanation:

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4 0
3 years ago
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6. Multiply: i) 3x (5x+8y)
Stella [2.4K]

Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14

4 0
3 years ago
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